WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 25, 2026
The Zlamal Approximation on a Sphere
Authors: , , ,
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Abstract: Finite element approximation is often used to solve various problems in mathematical physics, such as boundary value problems. Previously, the authors considered the Courant approximation on a sphere. The Zlamal approximation on the plane gives smaller errors of approximation than the Courant approximation. This paper discusses a generalization of the Zlamal approximation on the plane and the Zlamal approximation on a sphere. The theoretical results are given for the Zlamal approximation on the plane and the Zlamal approximation on a sphere. The errors of approximation obtained with the Zlamal approximation and with the Courant approximation are compared. The results of the numerical experiments are given.
Keywords:
local approximation, Zlamal-type approximation, Courant-type approximation, approximation on a sphere, triangulation, basis functions
Pages: 589-600
DOI: 10.37394/23206.2026.25.54